1.3(2x-1)+5=6(x+1)

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Solution for 1.3(2x-1)+5=6(x+1) equation:


Simplifying
1.3(2x + -1) + 5 = 6(x + 1)

Reorder the terms:
1.3(-1 + 2x) + 5 = 6(x + 1)
(-1 * 1.3 + 2x * 1.3) + 5 = 6(x + 1)
(-1.3 + 2.6x) + 5 = 6(x + 1)

Reorder the terms:
-1.3 + 5 + 2.6x = 6(x + 1)

Combine like terms: -1.3 + 5 = 3.7
3.7 + 2.6x = 6(x + 1)

Reorder the terms:
3.7 + 2.6x = 6(1 + x)
3.7 + 2.6x = (1 * 6 + x * 6)
3.7 + 2.6x = (6 + 6x)

Solving
3.7 + 2.6x = 6 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
3.7 + 2.6x + -6x = 6 + 6x + -6x

Combine like terms: 2.6x + -6x = -3.4x
3.7 + -3.4x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
3.7 + -3.4x = 6 + 0
3.7 + -3.4x = 6

Add '-3.7' to each side of the equation.
3.7 + -3.7 + -3.4x = 6 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + -3.4x = 6 + -3.7
-3.4x = 6 + -3.7

Combine like terms: 6 + -3.7 = 2.3
-3.4x = 2.3

Divide each side by '-3.4'.
x = -0.6764705882

Simplifying
x = -0.6764705882

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